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Finding the Fourth Proportional to 694.31, 1,042.19 and 541.91

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Solution

The fourth proportional to 694.31, 1,042.19 and 541.91 is: 813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.31 : 1,042.19 = 541.91 : x
  2. Step 2: Convert to fraction form
    694.31/1,042.19 = 541.91/x
  3. Step 3: Cross multiply
    694.31x = 1,042.19 × 541.91
  4. Step 4: Simplify right side
    694.31x = 564,765.26
  5. Step 5: Solve for x
    x = 564,765.26/694.31
  6. Step 6: Final answer
    x = 813.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.